{"paper":{"title":"Cosmology under the fractional calculus approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"A. Hern\\'andez-Almada, Durban), DUT, Genly Leon (Catolica del Norte U., Guillermo Fernandez-Anaya, Juan Maga\\~na, Miguel A. Garc\\'ia-Aspeitia","submitted_at":"2022-07-02T16:48:06Z","abstract_excerpt":"Fractional cosmology modifies the standard derivative to Caputo's fractional derivative of order $\\mu$, generating changes in General Relativity. Friedmann equations are modified, and the evolution of the species densities depends on $\\mu$ and the age of the Universe $t_U$. We estimate stringent constraints on $\\mu$ using cosmic chronometers, Type Ia supernovae, and joint analysis. We obtain $\\mu=2.839^{+0.117}_{-0.193}$ within the $1\\sigma$ confidence level providing a non-standard cosmic acceleration at late times; consequently, the Universe would be older than the standard estimations. Addi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.00878","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2207.00878/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}